Tate-Betti and Tate-Bass Numbers

Alina Iacob; Edgar E. Enochs; Sergio Estrada; Sinem Odabasi

Tate-Betti and Tate-Bass Numbers

Alina Iacob, Edgar E. Enochs, Sergio Estrada, Sinem Odabasi

Mathematical Sciences

Research output: Contribution to conference › Presentation

Abstract

We define Tate-Betti and Tate-Bass invariants for modules over a commutative noetherian local ring R. We prove the periodicity of these invariants provided that R is a hypersurface. In the case when R is a Gorenstein ring we show that a finitely generated R-module M and its Matlis dual have the same Tate-Betti and Tate-Bass numbers.

Original language	American English
State	Published - Jun 19 2014
Event	Algebraic Structures and their Applications (ASTA) - Spineto, Italy Duration: Jun 19 2014 → …

Conference

Conference	Algebraic Structures and their Applications (ASTA)
Period	06/19/14 → …

Disciplines

Mathematics

Keywords

Mathematics
Tate-Bass invariants
Tate-Bass numbers
Tate-Betti

Cite this

@conference{7484c833b8c0479f908d39f0a4430a17,

title = "Tate-Betti and Tate-Bass Numbers",

abstract = " We define Tate-Betti and Tate-Bass invariants for modules over a commutative noetherian local ring R. We prove the periodicity of these invariants provided that R is a hypersurface. In the case when R is a Gorenstein ring we show that a finitely generated R-module M and its Matlis dual have the same Tate-Betti and Tate-Bass numbers. ",

keywords = "Mathematics, Tate-Bass invariants, Tate-Bass numbers, Tate-Betti",

author = "Alina Iacob and Enochs, \{Edgar E.\} and Sergio Estrada and Sinem Odabasi",

year = "2014",

month = jun,

day = "19",

language = "American English",

note = "Algebraic Structures and their Applications (ASTA) ; Conference date: 19-06-2014",

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TY - CONF

T1 - Tate-Betti and Tate-Bass Numbers

AU - Iacob, Alina

AU - Enochs, Edgar E.

AU - Estrada, Sergio

AU - Odabasi, Sinem

PY - 2014/6/19

Y1 - 2014/6/19

N2 - We define Tate-Betti and Tate-Bass invariants for modules over a commutative noetherian local ring R. We prove the periodicity of these invariants provided that R is a hypersurface. In the case when R is a Gorenstein ring we show that a finitely generated R-module M and its Matlis dual have the same Tate-Betti and Tate-Bass numbers.

AB - We define Tate-Betti and Tate-Bass invariants for modules over a commutative noetherian local ring R. We prove the periodicity of these invariants provided that R is a hypersurface. In the case when R is a Gorenstein ring we show that a finitely generated R-module M and its Matlis dual have the same Tate-Betti and Tate-Bass numbers.

KW - Mathematics

KW - Tate-Bass invariants

KW - Tate-Bass numbers

KW - Tate-Betti

UR - http://events.math.unipd.it/asta2014/sites/default/files/ABSTRACTASTA.pdf

M3 - Presentation

T2 - Algebraic Structures and their Applications (ASTA)

Y2 - 19 June 2014

ER -

Tate-Betti and Tate-Bass Numbers

Abstract

Conference

Disciplines

Keywords

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